@ZetajacetheGod I suspect so, but I can't see the original location without some time-intensive log scanning. In any case you're in the right place now. 🙂
Do you encounter any sound issues with any other games?
Can you try starting either game in Windowed mode then click on the speaker icon in the system tray for Windows? Click Mixer then please check if there's a channel for the running game.
If one is present, can you check that its volume is set high enough to be detectable? It's also worth checking if there is a visual representation of the sound from that channel. If it's playing sound a bar should appear and move rapidly.
If the channel is missing I suspect it's trying to output using another device. Back in Mixer can you check if there's a drop-down arrow near speakers, and if there is, please check the alternate output methods for the game's sound channel as before.
If it shows up on the other output device we're making progress. We'll start with Mass Effect 3. Navigate to C:\Program Files (x86)\Origin Games\Mass Effect 3\Binaries -or whereever your game is installed- within Windows and run MassEffect3Config.exe.
Checking the Sound tab there should be a list of sound devices to use, and an option to configure them. With these options you should hopefully be able to get the sound up and running. There's also an Audio tab with an on/off option for sound, but I see no reason why this shouldn't be defaulted to "on".
For ME2 the process is the same, you can find the MassEffect2Config.exe at C:\Program Files (x86)\Origin Games\Mass Effect 2\Binaries by default.
Hopefully this info is useful, please let us know how you get on.